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Finding the Third Proportional to 276,146 and 591,613

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Solution

The third proportional to 276,146 and 591,613 is: 1,267,467.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,146 : 591,613 = 591,613 : x
  2. Step 2: Convert to fraction form
    276,146/591,613 = 591,613/x
  3. Step 3: Cross multiply
    276,146x = 591,613 × 591,613
  4. Step 4: Simplify right side
    276,146x = 350,005,941,769
  5. Step 5: Solve for x
    x = 350,005,941,769/276,146
  6. Step 6: Final answer
    x = 1,267,467.00

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.